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Award ID contains: 2211379

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  1. ; ; (, Linear and Multilinear Algebra)
    Free, publicly-accessible full text available April 9, 2026
  2. ; ; ; (, The PUMP Journal of Undergraduate Research)
    A permutation in a finite symmetric group on a set of ordered elements has a descent at the i-th index if the permutation value at the i-th index is greater than the permutation value that follows. The descent set of a permutation is the set of all indices where the permutation has a descent. Each finite symmetric group can be partitioned by descent sets. In this paper we study the Hamming metric and the L-infinity metric on the sets of permutations that share the same descent set for all nonempty descent sets to determine the maximum possible value that these metrics can achieve when restricted to these subsets.  
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    Free, publicly-accessible full text available January 13, 2026
  3. ; ; ; (, The Electronic Journal of Combinatorics)
    An arithmetical structure on a finite, connected graph without loops is an assignment of positive integers to the vertices that satisfies certain conditions. Associated to each of these is a finite abelian group known as its critical group. We show how to determine the critical group of an arithmetical structure on a star graph or complete graph in terms of the entries of the arithmetical structure. We use this to investigate which finite abelian groups can occur as critical groups of arithmetical structures on these graphs. 
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    Full Text Available 
  4. ; ; ; ; (, Involve, a Journal of Mathematics)
    Full Text Available